A Mathematical Nature Walk

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A Mathematical Nature Walk

John A. Adam
A Mathematical Nature Walk Book PDF

Author : John A. Adam
Publisher : Princeton University Press
Page : 272 pages
File Size : 52,9 Mb
Release : 2011-09-12
Category : Nature
ISBN : 9781400832903

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A Mathematical Nature Walk by John A. Adam Pdf

How heavy is that cloud? Why can you see farther in rain than in fog? Why are the droplets on that spider web spaced apart so evenly? If you have ever asked questions like these while outdoors, and wondered how you might figure out the answers, this is a book for you. An entertaining and informative collection of fascinating puzzles from the natural world around us, A Mathematical Nature Walk will delight anyone who loves nature or math or both. John Adam presents ninety-six questions about many common natural phenomena--and a few uncommon ones--and then shows how to answer them using mostly basic mathematics. Can you weigh a pumpkin just by carefully looking at it? Why can you see farther in rain than in fog? What causes the variations in the colors of butterfly wings, bird feathers, and oil slicks? And why are large haystacks prone to spontaneous combustion? These are just a few of the questions you'll find inside. Many of the problems are illustrated with photos and drawings, and the book also has answers, a glossary of terms, and a list of some of the patterns found in nature. About a quarter of the questions can be answered with arithmetic, and many of the rest require only precalculus. But regardless of math background, readers will learn from the informal descriptions of the problems and gain a new appreciation of the beauty of nature and the mathematics that lies behind it.

Mathematics in Nature

John A. Adam
Mathematics in Nature Book PDF

Author : John A. Adam
Publisher : Princeton University Press
Page : 408 pages
File Size : 43,7 Mb
Release : 2011-10-02
Category : Mathematics
ISBN : 9781400841011

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Mathematics in Nature by John A. Adam Pdf

From rainbows, river meanders, and shadows to spider webs, honeycombs, and the markings on animal coats, the visible world is full of patterns that can be described mathematically. Examining such readily observable phenomena, this book introduces readers to the beauty of nature as revealed by mathematics and the beauty of mathematics as revealed in nature. Generously illustrated, written in an informal style, and replete with examples from everyday life, Mathematics in Nature is an excellent and undaunting introduction to the ideas and methods of mathematical modeling. It illustrates how mathematics can be used to formulate and solve puzzles observed in nature and to interpret the solutions. In the process, it teaches such topics as the art of estimation and the effects of scale, particularly what happens as things get bigger. Readers will develop an understanding of the symbiosis that exists between basic scientific principles and their mathematical expressions as well as a deeper appreciation for such natural phenomena as cloud formations, halos and glories, tree heights and leaf patterns, butterfly and moth wings, and even puddles and mud cracks. Developed out of a university course, this book makes an ideal supplemental text for courses in applied mathematics and mathematical modeling. It will also appeal to mathematics educators and enthusiasts at all levels, and is designed so that it can be dipped into at leisure.

The Golden Ratio

Gary B. Meisner
The Golden Ratio Book PDF

Author : Gary B. Meisner
Publisher : Quarto Publishing Group USA
Page : 227 pages
File Size : 46,7 Mb
Release : 2018-10-23
Category : Mathematics
ISBN : 9780760360262

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The Golden Ratio by Gary B. Meisner Pdf

This enlightening and gorgeously illustrated book explores the beauty and mystery of the divine proportion in art, architecture, nature, and beyond. From the pyramids of Giza, to quasicrystals, to the proportions of the human face, the golden ratio has an infinite capacity to generate shapes with exquisite properties. Author Gary Meisner has spent decades researching the subject, investigating and collaborating with people across the globe in dozens of professions and walks of life. In The Golden Ratio, he shares his enlightening journey. Exploring the long history of this fascinating number, as well as new insights into its power and potential applications, The Golden Ratio invites you to take a new look at this timeless topic.

Autumn Math Walk

Deanna Pecaski Mclennan
Autumn Math Walk Book PDF

Author : Deanna Pecaski Mclennan
Publisher : Unknown
Page : 50 pages
File Size : 52,7 Mb
Release : 2019-11
Category : Mathematics
ISBN : 1703937244

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Autumn Math Walk by Deanna Pecaski Mclennan Pdf

There is beautiful mathematics in the natural world. In this book two children take an autumn math walk in search of interesting treasures. Colourful photos and an easy to access text invite both children and adults to explore the wonders of the autumn world. This book can spark mathematical conversations with children, and be used as a guide for discovering the rich math that exists in nature. Photos can also be used to engage children in math talks as they observe and discuss what they see. Mathematical facts for each photo are provided that can be used to prompt readers in learning more about how math shapes our natural world.

The Beauty of Numbers in Nature

Ian Stewart
The Beauty of Numbers in Nature Book PDF

Author : Ian Stewart
Publisher : Unknown
Page : 224 pages
File Size : 54,9 Mb
Release : 2017-03-29
Category : Electronic
ISBN : 1782404716

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The Beauty of Numbers in Nature by Ian Stewart Pdf

Think of a zebra's stripes, the complexities of a spider's web, the uniformity of desert dunes, or the spirals in a sunflower head ... think of a snowflake. The Beauty of Numbers in Nature shows how life on Earth forms the principles of mathematics. Starting with the simplest patterns, each chapter looks at a different kind of patterning system and the mathematics that underlies it. In doing so the book also uncovers some universal patterns, both in nature and man-made, from the basic geometry of ancient Greece to the visually startling fractals that we are familiar with today. Elegantly illustrated, The Beauty of Numbers in Nature is an illuminating and engaging vision of how the apparently cold laws of mathematics find expression in the beauty of nature.

Winter Math Walk

Deanna Pecaski McLennan
Winter Math Walk Book PDF

Author : Deanna Pecaski McLennan
Publisher : Unknown
Page : 50 pages
File Size : 48,5 Mb
Release : 2019-11-24
Category : Electronic
ISBN : 1709700629

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Winter Math Walk by Deanna Pecaski McLennan Pdf

There is beautiful mathematics in the natural world. In this book two children take a winter math walk in search of interesting treasures. Colourful photos and an easy to access text invite both children and adults to explore the wonders of the winter world. This book can spark mathematical conversations with children, and be used as a guide for discovering the rich math that exists in nature. Photos can also be used to engage children in math talks as they observe and discuss what they see. Mathematical facts for each photo are provided that can be used to prompt readers in learning more about how math shapes our natural world.

Digital Image Processing

J M Blackledge
Digital Image Processing Book PDF

Author : J M Blackledge
Publisher : Elsevier
Page : 824 pages
File Size : 45,6 Mb
Release : 2005-11-30
Category : Computers
ISBN : 9780857099464

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Digital Image Processing by J M Blackledge Pdf

This authoritative text (the second part of a complete MSc course) provides mathematical methods required to describe images, image formation and different imaging systems, coupled with the principle techniques used for processing digital images. It is based on a course for postgraduates reading physics, electronic engineering, telecommunications engineering, information technology and computer science. This book relates the methods of processing and interpreting digital images to the ‘physics’ of imaging systems. Case studies reinforce the methods discussed, with examples of current research themes. Provides mathematical methods required to describe images, image formation and different imaging systems Outlines the principle techniques used for processing digital images Relates the methods of processing and interpreting digital images to the ‘physics’ of imaging systems

A Beautiful Math

Tom Siegfried
A Beautiful Math Book PDF

Author : Tom Siegfried
Publisher : National Academies Press
Page : 272 pages
File Size : 44,8 Mb
Release : 2006-09-21
Category : Science
ISBN : 9780309133807

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A Beautiful Math by Tom Siegfried Pdf

Millions have seen the movie and thousands have read the book but few have fully appreciated the mathematics developed by John Nash's beautiful mind. Today Nash's beautiful math has become a universal language for research in the social sciences and has infiltrated the realms of evolutionary biology, neuroscience, and even quantum physics. John Nash won the 1994 Nobel Prize in economics for pioneering research published in the 1950s on a new branch of mathematics known as game theory. At the time of Nash's early work, game theory was briefly popular among some mathematicians and Cold War analysts. But it remained obscure until the 1970s when evolutionary biologists began applying it to their work. In the 1980s economists began to embrace game theory. Since then it has found an ever expanding repertoire of applications among a wide range of scientific disciplines. Today neuroscientists peer into game players' brains, anthropologists play games with people from primitive cultures, biologists use games to explain the evolution of human language, and mathematicians exploit games to better understand social networks. A common thread connecting much of this research is its relevance to the ancient quest for a science of human social behavior, or a Code of Nature, in the spirit of the fictional science of psychohistory described in the famous Foundation novels by the late Isaac Asimov. In A Beautiful Math, acclaimed science writer Tom Siegfried describes how game theory links the life sciences, social sciences, and physical sciences in a way that may bring Asimov's dream closer to reality.

Reggio-Inspired Mathematics

Richmond School District
Reggio Inspired Mathematics Book PDF

Author : Richmond School District
Publisher : Lulu.com
Page : 36 pages
File Size : 49,9 Mb
Release : 2015-09-03
Category : Mathematics
ISBN : 9781312780071

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Reggio-Inspired Mathematics by Richmond School District Pdf

This booklet documents our school district's collaborative inquiry project looking at how Reggio-inspired practices can inform and enhance primary mathematics teaching and learning.

Spring Math Walk

Deanna Pecaski McLennan
Spring Math Walk Book PDF

Author : Deanna Pecaski McLennan
Publisher : Unknown
Page : 56 pages
File Size : 51,6 Mb
Release : 2020-02-25
Category : Electronic
ISBN : 9798615499067

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Spring Math Walk by Deanna Pecaski McLennan Pdf

There is beautiful mathematics in the natural world. In this book a child takes a spring math walk in search of interesting treasures. Colourful photos and an easy to access text invite both children and adults to explore the wonders of the spring world. This book can spark mathematical conversations with children, and be used as a guide for discovering the rich math that exists in nature. Photos can also be used to engage children in math talks as they observe and discuss what they see. Mathematical facts for each photo are provided at the end of the book that can be used to prompt readers in learning more about how math shapes our natural world.

Living Proof

Allison K. Henrich,Emille D. Lawrence,Matthew A. Pons,David George Taylor
Living Proof Book PDF

Author : Allison K. Henrich,Emille D. Lawrence,Matthew A. Pons,David George Taylor
Publisher : Unknown
Page : 136 pages
File Size : 51,5 Mb
Release : 2019
Category : Academic achievement
ISBN : 1470452812

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Living Proof by Allison K. Henrich,Emille D. Lawrence,Matthew A. Pons,David George Taylor Pdf

Wow! This is a powerful book that addresses a long-standing elephant in the mathematics room. Many people learning math ask ``Why is math so hard for me while everyone else understands it?'' and ``Am I good enough to succeed in math?'' In answering these questions the book shares personal stories from many now-accomplished mathematicians affirming that ``You are not alone; math is hard for everyone'' and ``Yes; you are good enough.'' Along the way the book addresses other issues such as biases and prejudices that mathematicians encounter, and it provides inspiration and emotional support for mathematicians ranging from the experienced professor to the struggling mathematics student. --Michael Dorff, MAA President This book is a remarkable collection of personal reflections on what it means to be, and to become, a mathematician. Each story reveals a unique and refreshing understanding of the barriers erected by our cultural focus on ``math is hard.'' Indeed, mathematics is hard, and so are many other things--as Stephen Kennedy points out in his cogent introduction. This collection of essays offers inspiration to students of mathematics and to mathematicians at every career stage. --Jill Pipher, AMS President This book is published in cooperation with the Mathematical Association of America.

Natalie's Nature Walk

Seth Dempski
Natalie s Nature Walk Book PDF

Author : Seth Dempski
Publisher : The Rosen Publishing Group, Inc
Page : 26 pages
File Size : 46,7 Mb
Release : 2014-08-01
Category : Juvenile Nonfiction
ISBN : 9781477764404

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Natalie's Nature Walk by Seth Dempski Pdf

Working with data is a foundational concept not only for mathematics, but also for understanding the world around us. Readers will gain exposure to principles of measurement, such as measuring length and using it to perform operations, while other narratives introduce concepts of money and time. Bright visuals help make math not only concrete, but also fun. Readers join Natalie as she takes a nature walk and practices organizing data in picture graphs. This volume meets CCSS Math Standard 2.MD.D.10.

The Mathematics of Patterns, Symmetries, and Beauties in Nature

Bourama Toni
The Mathematics of Patterns Symmetries and Beauties in Nature Book PDF

Author : Bourama Toni
Publisher : Springer Nature
Page : 150 pages
File Size : 49,5 Mb
Release : 2021-12-06
Category : Science
ISBN : 9783030845964

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The Mathematics of Patterns, Symmetries, and Beauties in Nature by Bourama Toni Pdf

This unique book gathers various scientific and mathematical approaches to and descriptions of the natural and physical world stemming from a broad range of mathematical areas – from model systems, differential equations, statistics, and probability – all of which scientifically and mathematically reveal the inherent beauty of natural and physical phenomena. Topics include Archimedean and Non-Archimedean approaches to mathematical modeling; thermography model with application to tungiasis inflammation of the skin; modeling of a tick-Killing Robot; various aspects of the mathematics for Covid-19, from simulation of social distancing scenarios to the evolution dynamics of the coronavirus in some given tropical country to the spatiotemporal modeling of the progression of the pandemic. Given its scope and approach, the book will benefit researchers and students of mathematics, the sciences and engineering, and everyone else with an appreciation for the beauty of nature. The outcome is a mathematical enrichment of nature’s beauty in its various manifestations. This volume honors Dr. John Adam, a Professor at Old Dominion University, USA, for his lifetime achievements in the fields of mathematical modeling and applied mathematics. Dr. Adam has published over 110 papers and authored several books.

Eco-Mathematics Education

Nataly Chesky,Jack Milgram
Eco Mathematics Education Book PDF

Author : Nataly Chesky,Jack Milgram
Publisher : BRILL
Page : 202 pages
File Size : 54,5 Mb
Release : 2021-10-18
Category : Education
ISBN : 9789004466807

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Eco-Mathematics Education by Nataly Chesky,Jack Milgram Pdf

Eco-Mathematics Education strives to show how everyone can experience the embedded connection between mathematics and the natural world. The authors’ sincere hope is that by doing so, we can radically change the way we come to understand mathematics, as well as humanity’s place in the ecosystem. The book hopes to accomplish this by providing in-depth lesson plans and resources for educators and anyone interested in teaching and learning mathematics through an ecological aesthetic perspective. All lessons are based on the inquiry method of teaching, aligned to standards, incorporate art projects inspired by famous artists, and utilize recycled and/or natural materials as much as possible.

The Best Writing on Mathematics 2010

Mircea Pitici
The Best Writing on Mathematics 2010 Book PDF

Author : Mircea Pitici
Publisher : Princeton University Press
Page : 435 pages
File Size : 40,6 Mb
Release : 2021-09-14
Category : Mathematics
ISBN : 9781400836123

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The Best Writing on Mathematics 2010 by Mircea Pitici Pdf

The year’s most memorable writing on mathematics This anthology brings together the year's finest writing on mathematics from around the world. Featuring promising new voices alongside some of the foremost names in mathematics, The Best Writing on Mathematics makes available to a wide audience many articles not easily found anywhere else—and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates. Here readers will discover why Freeman Dyson thinks some mathematicians are birds while others are frogs; why Keith Devlin believes there's more to mathematics than proof; what Nick Paumgarten has to say about the timing patterns of New York City's traffic lights (and why jaywalking is the most mathematically efficient way to cross Sixty-sixth Street); what Samuel Arbesman can tell us about the epidemiology of the undead in zombie flicks; and much, much more. In addition to presenting the year's most memorable writing on mathematics, this must-have anthology also includes a foreword by esteemed mathematician William Thurston and an informative introduction by Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us—and where it's headed.